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11213251453400 = 2352151409990583
BaseRepresentation
bin1010001100101100100111…
…0111101010000111011000
31110200222100202212221111012
42203023021313222013120
52432204214333002100
635503144022153052
72235062552502263
oct243131167520730
943628322787435
1011213251453400
113633571131197
121311253282788
13634535c45cc9
142aaa1d559cda
15146a381a0135
hexa32c9dea1d8

11213251453400 has 96 divisors (see below), whose sum is σ = 26250156192000. Its totient is φ = 4454460432000.

The previous prime is 11213251453399. The next prime is 11213251453403. The reversal of 11213251453400 is 435415231211.

11213251453400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213251453403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123744509 + ... + 123835091.

It is an arithmetic number, because the mean of its divisors is an integer number (273439127000).

Almost surely, 211213251453400 is an apocalyptic number.

11213251453400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11213251453400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13125078096000).

11213251453400 is an abundant number, since it is smaller than the sum of its proper divisors (15036904738600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11213251453400 is a wasteful number, since it uses less digits than its factorization.

11213251453400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94849 (or 94840 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 11213251453400 its reverse (435415231211), we get a palindrome (11648666684611).

The spelling of 11213251453400 in words is "eleven trillion, two hundred thirteen billion, two hundred fifty-one million, four hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 200 302 604 755 1208 1510 3020 3775 4099 6040 7550 8198 15100 16396 20495 30200 32792 40990 81980 90583 102475 163960 181166 204950 362332 409900 452915 618949 724664 819800 905830 1237898 1811660 2264575 2475796 3094745 3623320 4529150 4951592 6189490 9058300 12378980 13678033 15473725 18116600 24757960 27356066 30947450 54712132 61894900 68390165 109424264 123789800 136780330 273560660 341950825 371299717 547121320 683901650 742599434 1367803300 1485198868 1856498585 2735606600 2970397736 3712997170 7425994340 9282492925 14851988680 18564985850 37129971700 56066257267 74259943400 112132514534 224265029068 280331286335 448530058136 560662572670 1121325145340 1401656431675 2242650290680 2803312863350 5606625726700 11213251453400